In this paper, we study on the initial-boundary value problem for nonlinear wave equations of higher-order Kirchhoff type with Strong Dissipation: . At first, we prove the existence and uniqueness of the local solution by the Banach contraction mapping principle. Then, by “Concavity” method we establish three blow-up results for certain solutions in the case 1): , in the case 2): and in the case 3): . At last, we consider that the estimation of the upper bounds of the blow-up time is given for deferent initial energy.
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![\"\"](\"Edit_86ac04b7-1d30-4853-9831-174f885fd50e.bmp\")
. At first, we prove the existence and uniqueness of the local solution by the Banach contraction mapping principle. Then, by “Concavity” method we establish three blow-up results for certain solutions in the case 1): ![\"\"](\"Edit_c22cc375-aa71-4d62-8d82-07b607f1cb01.bmp\")
, in the case 2): ![\"\"](\"Edit_4dc08937-4b56-4f0c-a0dd-1e18512f0079.bmp\")
and in the case 3): ![\"\"](\"Edit_e492d220-1c50-47ac-a0d4-3641f16c2c1f.bmp\")
. At last, we consider that the estimation of the upper bounds of the blow-up time ![\"\"](\"Edit_3fd39c42-ae7d-490e-a5ec-a631435c08ea.bmp\")
is given for deferent initial energy.
